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Research Article | Open Access

Some integral inequalities for coordinated log- h-convex interval-valued functions

Fangfang Shi1, Guoju Ye1( ), Dafang Zhao2, Wei Liu1
College of Science, Hohai University, 210098 Nanjing, China
School of Mathematics and Statistics, Hubei Normal University, 435002 Huangshi, China
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Abstract

We introduce and investigate the coordinated log- h-convexity for interval-valued functions. Also, we prove some new Jensen type inequalities and Hermite-Hadamard type inequalities, which generalize some known results in the literature. Moreover, some examples are given to illustrate our results.

Keywords

interval-valued functionscoordinated log-h-convexJensen type inequalitiesHermite-Hadamard type inequalities
CLC number: 26D15, 26E25, 26B25, 28B20

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 156-170
DOI: 10.3934/math.2022009

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Cite this article:
Shi F, Ye G, Zhao D, et al. Some integral inequalities for coordinated log- h-convex interval-valued functions. AIMS Mathematics, 2022, 7(1): 156-170. https://doi.org/10.3934/math.2022009

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Received: 26 July 2021
Accepted: 25 September 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)